Answer:
1 point baskets = 19
2 point baskets = 22
3 point baskets = 5
Step-by-step explanation:
Given:
Number of points scored (P) = 78
Number of 1 point baskets = 19
Number of 2 and 3 points basket = 27
Let the number of 2 point baskets be 'x' and 3 point basket be 'y'.
Therefore,
Now, points scored per 2 point basket = 2
So, points scored for 'x' baskets =
Also, points scored for 'y' baskets =
Now, total points scored is equal to the sum of 1 point baskets, 2 point baskets and 3 point baskets. Therefore,
Therefore, number of 2 point baskets = 22
Now, number of 3 point baskets = 27 - 22 = 5
So, there were 19 one point baskets, 22 two point baskets and 5 three point baskets.